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Ansysは、シミュレーションエンジニアリングソフトウェアを学生に無償で提供することで、未来を拓く学生たちの助けとなることを目指しています。
Ansysは、シミュレーションエンジニアリングソフトウェアを学生に無償で提供することで、未来を拓く学生たちの助けとなることを目指しています。
ANSYS BLOG
July 17, 2023
We already know that a team car riding behind a cyclist gives the athlete an aerodynamic benefit. This physical insight was revealed in an earlier study by the same partners in 2015.1 The effect can be explained by the air mass that is pushed forward by the car body, as shown in the videos below. This generates a large overpressure bubble in front of the car (see red and yellow colors), which in turn exerts a significant push effect on the cyclist and allows him/her to ride faster with the same effort. In 2023, the International Cycling Union (UCI), after consulting with the researchers and others, changed the previous minimum distance between the cyclist and following team car from 10 m (32.8 feet) to 25 m (82 feet). However, a lack of proper measurement technology makes it difficult to actually enforce the minimum distance rules. Moreover, the 2015 study did not consider the potential benefit of bicycles stacked on the roof of the following car. To the best of our knowledge, no one has ever assessed in detail how much drag reduction is caused by different numbers and configurations of roof-top bicycles.
The cyclist in the simulations assumes a time trial (TT) position on a TT bike that has a three-spoke front wheel and a rear disk wheel. Two cycling speeds are considered: a top time trial speed of 54 km/h (33.56 mph), which can be attained on a flat stage, and a much lower speed of 36 km/h (22.37 mph), which is an estimate of a top speed in the upcoming Tour de France time trial. The simulations were performed for calm weather conditions, so no crosswind, headwind, or tailwind is present.
The results in terms of drag reduction and time gain for some different car configurations are summarized in Table 1a for a speed of 54 km/h and in Table 1b for 36 km/h. These values are compared to a cyclist riding alone, without a team car behind him/her. These numbers indicate that stacking bicycles on the roof slightly increases the aerodynamic benefit for the rider. However, the number gets substantially larger if and when teams adopt a specific configuration.
| d = 1 m | d = 5 m | d = 10 m | d = 25 m | ||||
| DR (%) | Time (s) per km | DR (%) | Time (s) per km | DR (%) | Time (s) per km | DR (%) | Time (s) per km |
Car without bike | 13.74 | 3.34 | 1.39 | 0.32 | 0.39 | 0.09 | 0.14 | 0.03 |
Car with 5 bikes | 16.5 | 4.04 | 1.53 | 0.36 | 0.49 | 0.11 | 0.22 | 0.05 |
Car with 10 bikes | - | - | 1.73 | 0.40 | 0.55 | 0.13 | 0.24 | 0.06 |
Car with 2 bikes perpendicular | 17.1 | 4.21 | 2.30 | 0.54 | 0.91 | 0.21 | 0.51 | 0.12 |
Car with vertical plate | 18.3 | 4.52 | 3.30 | 0.77 | 1.40 | 0.33 | 0.80 | 0.19 |
| d = 1 m | d = 5 m | d = 10 m | d = 25 m | ||||
| DR (%) | Time (s) per km | DR (%) | Time (s) per km | DR (%) | Time (s) per km | DR (%) | Time (s) per km |
Car without bike | 13.74 | 4.58 | 1.39 | 0.44 | 0.39 | 0.12 | 0.14 | 0.05 |
Car with 5 bikes | 16.49 | 5.55 | 1.53 | 0.49 | 0.49 | 0.16 | 0.22 | 0.07 |
Car with 10 bikes | - | - | 1.73 | 0.55 | 0.55 | 0.18 | 0.24 | 0.08 |
Car with 2 bikes perpendicular | 17.10 | 5.77 | 2.30 | 0.74 | 0.91 | 0.29 | 0.51 | 0.16 |
Car with vertical plate | 18.26 | 6.20 | 3.30 | 1.06 | 1.40 | 0.45 | 0.80 | 0.26 |
“Time trial bikes are designed to be aerodynamic. So putting a few on the roof of a car, oriented in their riding direction, does not give a huge advantage,” says Professor Blocken. “However, the advantage increases strongly when bikes with rear disk wheels are placed on the roof perpendicular to the riding direction. We hope that this study can lead to new regulations that will avoid this type of unfair advantages.”
Having just one bike on the roof is a realistic situation. It could also be a future regulatory maximum number, as one spare bike should be sufficient in almost every circumstance. For a car with five bikes on the roof and a separation distance of 10 m, the relative time gain over 22.4 km would be 0.57 second. A car with 10 bikes on the roof would give a gain of 1 second. Stacking two bikes placed perpendicular to the riding direction yields a gain of 3.57 seconds. Stacking just one bike in a plastic protective cover on the roof yields a gain of 7.08 seconds. For a 5 m separation distance in this 22.4 km time trial, the relative gain would be 0.86 second for the car with five bikes, 2.30 seconds for the car with 10 bikes, 6.41 seconds for the car with two bikes perpendicular to the riding direction, and 13.66 seconds for the car with a single perpendicularly placed bike in a large plastic protective cover or hardcase.
It remains to be seen whether we will see teams exploiting the push effect by stacking many bikes on the roof, or adopting the idea of stacking two bikes with disk wheels perpendicular to the riding direction on the roof. Time gains per kilometer and for the whole 22.4 km time trial, compared to a cyclist followed by a car with only one bike on the roof and riding at 36 km/h, which is an estimate of the average speed for this time trial, are given in Table 2.
| Time gain (s) compared to car with 1 bike per km at 36 km/h | Time gain (s) compared to car with 1 bike per km at 36 km/h | ||||||
| 1 m | 5 m | 10 m | 25 m | 1 m | 5 m | 10 m | 25 m |
Car 3 bikes | 0.420 | 0.019 | 0.013 | 0.010 | 9.402 | 0.432 | 0.285 | 0.214 |
Car 5 bikes | 0.843 | 0.038 | 0.025 | 0.022 | 18.892 | 0.862 | 0.571 | 0.498 |
Car 10 bikes | 2.102 | 0.103 | 0.045 | 0.029 | 47.082 | 2.300 | 0.999 | 0.641 |
Car 2 bikes perpendicular | 1.062 | 0.286 | 0.159 | 0.115 | 23.790 | 6.409 | 3.572 | 2.566 |
Car with plate | 1.495 | 0.610 | 0.316 | 0.207 | 33.497 | 13.657 | 7.084 | 4.638 |
Because time trials are sometimes decided by seconds, or even tenths or hundredths of a second, the number of bicycles on the roof of a team car and the way they are oriented could very well decide who wins this time trial. Note that in the 2022 UCI World Championships in Wollongong, Australia, the difference between the gold and the silver medal was only 2.95 seconds, and the difference between gold and bronze only 9.16 seconds. A team car optimally stacked with roof-top bicycle(s) and riding close enough behind the cyclist can yield aerodynamic benefits that could be large enough to decide who wins and who loses time trials.
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